We consider the problem of customer equilibrium strategies in an M/M/1 queue under dynamic service control. The service rate switches between a low and a high value depending on system congestion. Arriving customers do not observe the system state at the moment of arrival. We show that due to service rate variation, the customer equilibrium strategy is not generally unique, and derive an upper ...

• λ = arrival rate of potential customers • μ = service rate • W = waiting time in queue • θ = customer-type parameter, indicating the importance of time, θ ∈ [0, 1] • H = cumulative distribution function of θ, assumed continuous on [0, 1], with density h • c(w) = basic cost to wait time w, a positive, increasing, unbounded, continuous function • r = reward to the customer for receiving service...

Low latency is critical for many applications in wireless communications, e.g., vehicle-to-vehicle (V2V), multimedia, and industrial control networks. Meanwhile, for the capability of providing multi-gigabits per second (Gbps) rates, millimeter-wave (mmWave) communication has attracted substantial research interest recently. This paper investigates two strategies to reduce the communication del...

In order to develop appropriate queueing models that can be applied to efficiently provide good service in a service system with arrivals by appointment, we carefully consider what stochastic arrival process models may be appropriate. We provide a guideline or template for creating stochastic arrival process models by carefully examining appointment and arrival data from an endocrinology clinic...

Wireless Body Sensor Networks (WBSNs) involve a convergence of biosensors, wireless communication and networks technologies. WBSN enables real-time healthcare services to users. Wireless sensors can be used to monitor patients’ physical conditions and transfer real time vital signs to the emergency center or individual doctors. Wireless networks are subject to more packet loss and congestion. T...

The arrival rate of jobs at servers in a data-center can vary significantly over time. The servers in data-centers are typically multi-core processors, which allow jobs to be processed at different degrees of parallelism (DoPs), i.e., the number of threads spawned by a job. In this thesis, we show analytically as well as empirically that the DoP which minimizes the service time of jobs varies w...

In this paper we pose some important queuing problems, make some conjectures about their solution, and present some evidence in support of the conjectures. We consider the standard GI/G/s queueing model with s homogeneous servers in parallel, unlimited waiting room, the first-come first-served discipline and lid (independent and identically distributed) service times (with a general distributio...

This paper develops an aggregate stochastic model of an emergency department (ED) based on a careful study of data on individual patient arrival times and length of stay in the ED of the Rambam Hospital in Israel, which was used in a large-scale exploratory data analysis by Armony et al. (2015). This data set is of special interest because it has been made publicly available, so that the experi...